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Finding the Third Proportional to 26,584 and 57,842

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Solution

The third proportional to 26,584 and 57,842 is: 125,853.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    26,584 : 57,842 = 57,842 : x
  2. Step 2: Convert to fraction form
    26,584/57,842 = 57,842/x
  3. Step 3: Cross multiply
    26,584x = 57,842 × 57,842
  4. Step 4: Simplify right side
    26,584x = 3,345,696,964
  5. Step 5: Solve for x
    x = 3,345,696,964/26,584
  6. Step 6: Final answer
    x = 125,853.78

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.